The Mating Dance of the Alexander Horned Spheres
The Mating Dance of the Alexander Horned Spheres
The concept for this Demonstration comes from Tim Poston's cartoon of the same title in the occasional publication Manifold. Move the slider to grow the horns on two Alexander horned spheres. As they grow, they dance or twist around each other until inextricably entangled. Zoom in on the complicated limit point. Control the maximum number of times the horns divide. The performance slider controls how many segments make up each horn. Depending on the number of horns, selecting higher quality can result in slow performance in rendering the image.